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IJCM
2007
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13 years 10 months ago
Splitting methods for non-autonomous linear systems
We present splitting methods for numerically solving a certain class of explicitly time-dependent linear differential equations. Starting from an efficient method for the autonom...
Sergio Blanes, Fernando Casas, Ander Murua
ISSAC
2009
Springer
141views Mathematics» more  ISSAC 2009»
14 years 5 months ago
Algorithms for regular solutions of higher-order linear differential systems
We study systems of higher-order linear differential equations having a regular singularity at the origin. Using the properties of matrix polynomials, we develop efficient method...
Moulay A. Barkatou, Thomas Cluzeau, Carole El Bach...
ISSAC
2009
Springer
147views Mathematics» more  ISSAC 2009»
14 years 5 months ago
Fast algorithms for differential equations in positive characteristic
We address complexity issues for linear differential equations in characteristic p > 0: resolution and computation of the p-curvature. For these tasks, our main focus is on al...
Alin Bostan, Éric Schost